Problems On H.C.F And L.C.M – Aptitude MCQ Questions – 12

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Question 1
Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ?



Question 2
Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is = ?



Question 3
Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31, and 51 respectively = ?



Question 4
The greatest number that will divide 729 and 901 leaving remainder 9 and 5 respectively is = ?



Question 5
If x:y be the ratio of two whole numbers and z be their HCF, then the LCM of those two number is = ?



Question 6
If r is the remainder when each of 7654, 8506, and 9997 is divided by the greatest number d (d > 1) then d - r is equal to = ?



Question 7
Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is = ?



Question 8
84 Maths books, 90 Physics books, 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ?



Question 9

A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes 1/3. Then, the LCM of the numerator and denominator of the said fraction, must be = ?



Question 10
What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ?



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